{
  "id": "1402.2040",
  "version": "v2",
  "published": "2014-02-10T05:12:17.000Z",
  "updated": "2014-09-23T04:07:07.000Z",
  "title": "Diagonal recurrence relations, inequalities, and monotonicity related to Stirling numbers",
  "authors": [
    "Feng Qi"
  ],
  "comment": "9 pages",
  "categories": [
    "math.CO",
    "math.CA",
    "math.NT"
  ],
  "abstract": "In the paper, the author derives several \"diagonal\" recurrence relations, constructs some inequalities, finds monotonicity, and poses a conjecture related to Stirling numbers of the second kind.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-10T05:12:17.000Z",
      "title": "A recurrence formula, some inequalities, and monotonicity related to Stirling numbers of the second kind",
      "abstract": "In the paper, the author finds an integral-derivative-limit representation, a recurrence formula, some inequalities, and monotonicity related to Stirling numbers of the second kind, and poses a conjecture on monotonicity and logarithmic concavity of sequences related to Stirling numbers of the second kind.",
      "comment": "7 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-09-23T04:07:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "11B73",
      "11B83",
      "11R33",
      "26D15",
      "05A18",
      "33B10",
      "44A10"
    ],
    "keywords": [
      "second kind",
      "stirling numbers",
      "recurrence formula",
      "monotonicity",
      "inequalities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.2040Q"
    }
  }
}